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1. The Pseudospectral Legendre Method for a Class of Singular Boundary Value Problems Arising in Physiology.

Author

ALIPANAH, A., RAZZAGHI, M., and DEHGHAN, M.

Subjects
*LEGENDRE'S functions, *BOUNDARY value problems, *NUMERICAL solutions to nonlinear boundary value problems, *INTERPOLATION, *APPROXIMATION theory, *PHYSIOLOGICAL research
Abstract

This paper presents a computational technique for the solution of a class of nonlinear singular boundary value problems arising in physiology. The approach is based on a pseudospectral Legendre method in which Legendre-Gauss-Lobatto nodes are used to construct the Nth degree polynomial interpolation to approximate the solution. The method is easy to implement and yields accurate results. Illustrative examples are included to demonstrate the capability of the proposed method, and a comparison is made with existing methods in the literature. [ABSTRACT FROM AUTHOR]

Published
2010
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